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The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

Unification of gravity with quantum mechanics is still a terra incognita. Photon polarization measurements offer a unique window for probing the interaction between these two fundamental forces. We have revealed that non-reciprocity in the…

Quantum Physics · Physics 2024-09-06 Hansol Noh , Paul M. Alsing , Warner A. Miller , Doyeol Ahn

In general relativity, an IDEAL (Intrinsic, Deductive, Explicit, ALgorithmic) characterization of a reference spacetime metric $g_0$ consists of a set of tensorial equations $T[g]=0$, constructed covariantly out of the metric $g$, its…

General Relativity and Quantum Cosmology · Physics 2019-09-20 Igor Khavkine

Vacuum polarization of scalar fields in the background of a long throat is investigated. The field is assumed to be both massive or massless, with arbitrary coupling to the scalar curvature, and in a thermal state at an arbitrary…

High Energy Physics - Theory · Physics 2018-09-18 A. Popov

Recent observations by the Event Horizon Telescope (EHT) indicate that the shadow of the compact object at our Galaxy's center (Sgr A*) closely resembles that of a Schwarzschild black hole. However, identifying the presence and exact…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Ashok B. Joshi , Vishva Patel , Parth C. Varasani

For a massive scalar field in a fixed Schwarzschild background, the radial wave equation obeyed by Fourier modes is first studied. After reducing such a radial wave equation to its normal form, we first study approximate solutions in the…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Giampiero Esposito , Marco Refuto

We calculate the vacuum average value of the field square and the stress-energy tensor of a massive scalar field, with non-minimal coupling $\xi$ to the curvature in the short-throat flat-space wormhole background. The obtained results are…

General Relativity and Quantum Cosmology · Physics 2010-05-12 V. B. Bezerra , E. R. Bezerra de Mello , N. R. Khusnutdinov , S. V. Sushkov

We extend dimensional regularization to the case of compact spaces. Contrary to previous regularization schemes employed for nonlinear sigma models on a finite time interval (``quantum mechanical path integrals in curved space'')…

High Energy Physics - Theory · Physics 2009-10-31 F. Bastianelli , O. Corradini , P. van Nieuwenhuizen

Over the past few decades, significant effort has been directed towards developing various regularized models for compact objects. Recently, a new observable-based parametrization was introduced to account for black hole deformations in a…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Mattia Damia Paciarini , Mikołaj Myszkowski , Francesco Sannino , Vania Vellucci

We investigate the issue of regularization/renormalization in the presence of a nontrivial background in the case of 1+1-(supersymmetric) solitons. In particular we study and compare the commonly employed regularization methods (mode-…

High Energy Physics - Theory · Physics 2007-05-23 Robert Wimmer

In this paper, we consider the convergence properties of the polarization tensor of graphene obtained in the framework of thermal quantum field theory in three-dimensional space-time. During the last years, this problem attracted much…

High Energy Physics - Theory · Physics 2024-06-25 M. Bordag , G. L. Klimchitskaya , V. M. Mostepanenko

In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS$_3$ black hole. There are two horizons for the warped dS$_3$ black hole, namely, the black hole horizon…

High Energy Physics - Theory · Physics 2011-12-22 Bin Chen , Jia-ju Zhang , Jian-dong Zhang

We describe a formalism and numerical approach for studying spherically symmetric scalar field collapse for arbitrary spacetime dimension d and cosmological constant Lambda. The presciption uses a double null formalism, and is based on…

General Relativity and Quantum Cosmology · Physics 2016-08-31 M. Birukou , V. Husain , G. Kunstatter , E. Vaz , M. Olivier

In order to investigate the effects of vacuum polarisation on mass inflation singularities, we study a simple toy model of a charged black hole with cross flowing radial null dust which is homogeneous in the black hole interior. In the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 W. G. Anderson , P. R. Brady , R. Camporesi

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Wei Xiong , Peng-Cheng Li

Parameterized Kerr spacetimes allow us to test the nature of black holes in model-independent ways. Such spacetimes contain several arbitrary functions and, as a matter of practicality, one Taylor expands them about infinity and keeps only…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Kent Yagi , Samantha Lomuscio , Tristen Lowrey , Zack Carson

Following previous work of ours in spherical symmetry, we here propose a new parametric framework to describe the spacetime of axisymmetric black holes in generic metric theories of gravity. In this case, the metric components are functions…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Roman Konoplya , Luciano Rezzolla , Alexander Zhidenko

The full computation of the renormalized expectation values $\langle\Phi^{2}\rangle_{ren}$ and $\langle\hat{T}_{\mu\nu}\rangle_{ren}$ in 4D black hole interiors has been a long standing challenge, which has impeded the investigation of…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Assaf Lanir , Adam Levi , Amos Ori

The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace…

High Energy Physics - Theory · Physics 2009-10-31 R. Balbinot , A. Fabbri , I. Shapiro

We study the relationship between the quantization of a massless scalar field on the two-dimensional Einstein cylinder and in a spacetime with a time machine. We find that the latter picks out a unique prescription for the state of the zero…

Quantum Physics · Physics 2021-12-28 Ana Alonso-Serrano , Erickson Tjoa , Luis J. Garay , Eduardo Martín-Martínez